I have found that shooting .38s in a gun chambered for .38s (only) are verrrrry accurate. I have a S&W 10 that's scary it shoots so good.
On the other hand, .38s fired from a .357 are not going to shoot as well as .357s fired from the same gun. That little jump does make a difference. However, when I shoot .357s in my SA Blackhawks and DA Colt, they do pretty darn good, too.
Given a choice, I would rather shoot .357s. I'm a crazy old fart that loves the recoil. (Actually, my favorites are .44 mags, but that wasn't an option in the original question, so please ignore this remark)
So in truth, I don't know which one is more accurate, but I'd trust my life to either of them. I know it's gonna go where I point it.